Attractors and Methods

By: Boling Guo

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Hardcover | 9 July 2018

At a Glance

Hardcover
414 Pages

Age
22+

Dimensions(cm)
23.98 x 15.98 x 2.39

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This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics.

The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves.

Contents
Discrete attractor and approximate calculation
Some properties of global attractor
Structures of small dissipative dynamical systems
Existence and stability of solitary waves

Industry Reviews

The strength of this volume is the presentation of many examples of problems from mathematical physics governed by PDEs and the demonstration of how the theoretical results work for these particular problems. Moreover, the book contains many original results of the authors. The center of equilibrium of this volume, similar to the rst one, is placed around the estimates and calculations so that by studying them, one can learn how to apply the abstract results to particular equations.
Piotr Kalita in: Mathematical Reviews Clippings (07.2019), MR3823799

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